It's easy. Get a PS2 RGB SCART lead (I guess you might need to order one from Europe or another place where RGB SCART is common?)
Now, chop off the SCART plug and connect the wires which carry the Red, Green, Blue, Earth and Sync signals to your Arcade monitor inputs. Easy!
BTW the picture is awesome. The PS2's RGB output is second only to the SNES as the best console RGB output ever.